Answer:
Step-by-step explanation:
The n th term of a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
here a₁ = 10 and r = , thus
= 10 ×
= 10 ×
=
Which of the following is the sum of 1/2 and -2/3
1 answer:
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Answer:
(a) 185/703
(b) 518/703
(c) 45/703
(d) 140/703
(e) 140/703
(f) 378/703
(g) 185/703
Step-by-step explanation:
Let the event of pledge member be P and event of full member be F
(a)If the first is a pledge, then the second is either a pledge or a member.
required Probabability = [P n (PUF)]
= Pr(PnP) U Pr (PnF)
= 10/38 × 9/37 + 10/38 × 28/38
= 90/1406 + 289/1406 = 370/1406
= 185/703
(b) if the person selected is not a pledge then the person is a full member and the second is either a full member or pledge
The required probability = Fn(FUP) =Pr (FnP) U Pr(FnF)
= 28/38 × 10/37 + 28/38 × 27/37
= 280/1406 + 756/140 = 1036/1406
= 518/703
(c) probability required= Pr(P/P) = Pr(PnP) = 10/38 × 9/37
= 90/1406
= 45/703
(d) Probability required = Pr(F/P)
= Pr(P) nPr(F) = 10/38 × 28/37
= 280/1406
= 140/703
(e) Probability required = Pr(P/F)
= Pr(F) n Pr(P)
= 28/38 × 10/37 =280/1406
=140/704
(f) Probability required = Pr (FnF)
= Pr(F) n Pr(F)
= 28/38 × 27/37= 756/1406
= 378/703
(g) it is the either the first person is a pledge member or a full member
Probability required = Pr[(PnP) U (FnP)]
= Pr(PnP) + Pr(FnP)
= 10/38 × 9/37 + 28/38 × 10/37
= 90/1406 + 280/1406
= 370/1406
= 185/703
(h) see attachment.
Answer:
see below
Step-by-step explanation:
I enter the equation into a graphing calculator and let it do the graphing.
___
If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.
Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).
I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).
Of course, you don't plot any function values for x > 4.
